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ZZ Slope-Intercept Form Equations
Contributed by: Dorsey
  • 1. Which of the following is not one of the rules of listing a linear equation in Slope-Intercept Form?
A) The y term must always be positive
B) The y term always is listed by itself on the left side of the equation
C) The equation must be written in French
D) The y term never has an integer before it
E) Must be in y=mx + b form. (b is a real integers and m is the slope)
  • 2. What is the first step to convert this to a Slope-Intercept Form Equation:
    -4 + y + 2x = 0
A) Multiply all units by -4
B) Add 4 to both sides of the equation
C) Add y to both sides of the equation
D) Divide all units by 2
E) Add 2x to both sides of the equation
  • 3. What is the next step to convert this to a Slope-Intercept Form Equation:
    -4 + y + 2x = 0 → y + 2x = 4
A) The x term needs to be written first
B) Divide all terms by 2
C) Subtract 2x from both sides
D) Subtract y from both sides
E) The equation is in the final Slope-Intercept form
  • 4. What is the next step to convert this to a Slope-Intercept Form Equation:
    y + 2x = 4 → y = -2x + 4
A) Subtract 2x from both sides
B) The equation is in the final Slope-Intercept Form
C) Subtract y from both sides
D) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
E) Divide all terms by 2
  • 5. What is the first step to convert this to a Slope-Intercept Form Equation:
    3y = 2 - x
A) Divide all terms by 2
B) Subtract 3y from both sides
C) The equation is in the final Slope-Intercept Form
D) Divide all terms by 3
E) Add x to both sides
  • 6. What is the next step to convert this to a Slope-Intercept Form Equation:
    3y = 2 - x → y = (2/3) - (1/3)x
A) The equation is in the final Slope-Intercept Form
B) The x term needs to be written first on the right side of the equation
C) Add x to both sides
D) Divide all terms by 3
E) Subtract 3y from both sides
  • 7. What is the next step to convert this to a Slope-Intercept Form Equation:
    y = (2/3) - (1/3)x → y = (1/3)x - (2/3)
A) Subtract 3y from both sides
B) The equation is in the final Slope-Intercept Form
C) The x term needs to be written first
D) Add x to both sides
E) Divide all terms by 3
  • 8. What is the first step to convert this to a Slope-Intercept Form Equation:
    (8/3)x + y = 1
A) Subtract 1 from both sides
B) Subtract (8/3)x from both sides
C) The equation is in the final Slope-Intercept Form
D) Subtract y from both sides
E) Multiply all terms times 8
  • 9. What is the next step to convert this to a Slope-Intercept Form Equation:
    (8/3)x + y = 1 → y = (-8/3)x + 1
A) Subtract 3y from both sides
B) Divide all terms by 3
C) Subtract 1 from both sides
D) Subtract y from both sides
E) The equation is in the final Slope-Intercept Form
  • 10. What is the first step to convert this to a Slope-Intercept Form Equation:
    7x + 3 = 8y + 4
A) Add 3 to both sides
B) Add 4 to both sides
C) Subtract 3 from both sides
D) The equation is in the final Slope-Intercept Form
E) Subtract 8 from both sides
  • 11. What is the next step to convert this to a Slope-Intercept Form Equation:
    7x + 3 = 8y + 4 → 7x = 8y + 1
A) Subtract 1 from both sides
B) The equation is in the final Slope-Intercept Form
C) Subtract 8y from both sides
D) Add 1 to both sides
E) Divide all terms by 7
  • 12. What is the next step to convert this to a Slope-Intercept Form Equation:
    7x = 8y + 1 → 7x - 8y = 1
A) Add 1 to both sides
B) Subtract 7x from both sides
C) The equation is in the final Slope-Intercept Form
D) Subtract 1 from both sides
E) Divide all terms by 7
  • 13. What is the next step to convert this to a Slope-Intercept Form Equation:
    7x - 8y = 1 → -8y = -7x + 1
A) Multiply all terms times 8
B) Subtract 8y from both sides
C) The equation is in the final Slope-Intercept Form
D) Multiply all terms times 7
E) Divide all terms by -8
  • 14. What is the next step to convert this to a Slope-Intercept Form Equation:
    -8y = -7x + 1 → y = (7/8)x - (1/8)
A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) The equation is in the Standard Form
C) Subtract y from both sides
D) Add y to both sides
E) The equation is in the final Slope-Intercept Form
  • 15. What is the first step to convert this to a Slope-Intercept Form Equation:
    y = (-4/5)x
A) Divide all terms by 4
B) Divide all terms by 5
C) Multiply all terms times 5
D) Subtract y from both sides
E) The equation is in the final Slope-Intercept Form
  • 16. What is the first step to convert this to a Slope-Intercept Form Equation:
    y = (-5/9)x + (1/3)
A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) Multiply all terms times 9
C) The equation is in the final Slope-Intercept Form
D) Multiply all terms by 3
E) Subtract (1/3) from both sides
  • 17. What is the first step to convert this to a Slope-Intercept Form Equation:
    6(y - 3) = 3(-4x + 10)
A) Divide all terms by 10
B) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
C) Subtract 6y from both sides
D) Distributively multiply on both sides of the equal sign
E) The equation is in the final Slope-Intercept Form
  • 18. What is the next step to convert this to a Slope-Intercept Form Equation:
    6(y-3)=3(-4x+10) → 6y-18=-12x+30
A) Subtract 6y from both sides
B) Divide all terms by 18
C) The y term needs to be written first
D) Subtract 12x from both sides
E) Add 18 to both sides
  • 19. What is the next step to convert this to a Slope-Intercept Form Equation:
    6y-18=-12x+30 → 6y=-12x+48
A) Subtract 3 from both sides
B) Divide all terms by 6
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 6 from both sides
E) The equation is in the final Slope-Intercept Form
  • 20. What is the next step to convert this to a Slope-Intercept Form Equation:
    6y=-12x+48 → y=-2x+16
A) Add 16 to both sides
B) Add 2 to both sides
C) Subtract 16 from both sides
D) Subtract 2 from both sides
E) The equation is in the final Slope-Intercept Form
  • 21. What is the first step to convert this to a Slope-Intercept Form Equation:
    2(y-1) = -2(9x + 5)
A) Subtract 18x from both sides
B) Subtract y from both sides
C) Distributively multiply on both sides of the equal sign
D) Add 2y to both sides
E) The equation is in the final Slope-Intercept Form
  • 22. What is the next step to convert this to a Slope-Intercept Form Equation:
    2(y-1) = -2(9x + 5) → 2y-2=-18x-10
A) Subtract 2y from both sides
B) The equation is in the final Slope-Intercept Form
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 18x from both sides
E) Add 2 to both sides
  • 23. What is the next step to convert this to a Slope-Intercept Form Equation:
    2y-2=-18x-10 → 2y=-18x-8
A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) Subtract 8 to both sides
C) The equation is in the final Slope-Intercept Form
D) Divide all terms by 2
E) Add 8 to both sides
  • 24. What is the next step to convert this to a Slope-Intercept Form Equation:
    2y=-18x-8 → y=-9x-4
A) Subtract 9x from both sides
B) Subtract 4 from both sides
C) Add 4 to both sides
D) Add 9x to both sides
E) The equation is in the final Slope-Intercept Form
  • 25. What is the first step to convert this to a Slope-Intercept Form Equation:
    3(y+4) = 3(x-4)
A) Subtract x from both sides
B) Subtract 4 from both sides
C) Add 4 to both sides
D) Subtract y from both sides
E) Distributively multiply on both sides of the equal sign
  • 26. What is the next step to convert this to a Slope-Intercept Form Equation:
    3(y+4) = 3(x-4) → 3y+12=3x-12
A) Subtract 12 from both sides
B) Add 3x to both sides
C) Add 12 to both sides
D) Add 3y to both sides
E) The equation is in the final Slope-Intercept Form
  • 27. What is the next step to convert this to a Slope-Intercept Form Equation:
    3y+12=3x-12 → 3y=3x-48
A) Subtract 48 from both sides
B) The equation is in the final Slope-Intercept Form
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Add 48 to both sides
E) Divide all terms by 3
  • 28. What is the next step to convert this to a Slope-Intercept Form Equation:
    3y=3x-48 → y=x-18
A) Subtract y from both sides
B) Subtract 18 from both sides
C) Add 18 to both sides
D) The equation is in the final Slope-Intercept Form
E) Add y to both sides
  • 29. What is the first step to convert this to a Slope-Intercept Form Equation:
    (y+10)=-7(x-1)
A) The equation is in the final Slope-Intercept Form
B) Subtract 7x from both sides
C) Distributively multiply on both sides of the equal sign
D) Add 10 to both sides
E) Add 7x to both sides
  • 30. What is the next step to convert this to a Slope-Intercept Form Equation:
    (y+10)=-7(x-1) → y+10=-7x+7
A) Subtract 7 from both sides
B) Add 7 to both sides
C) The y term needs to be written first
D) The equation is in the final Slope-Intercept Form
E) Subtract 10 from both sides
  • 31. What is the next step to convert this to a Slope-Intercept Form Equation:
    y+10=-7x+7 → y=-7x-3
A) Divide by 7
B) Subtract 3 from both sides
C) Add 7x to both sides
D) The equation is in the final Slope-Intercept Form
E) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
  • 32. Call Ms. Dorsey to your computer before continuing...
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